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 A054330 One half of sixth unsigned column of Lanczos' triangle A053125. 2
 3, 112, 2016, 25344, 256256, 2236416, 17547264, 127008768, 862912512, 5571084288, 34487664640, 206108098560, 1195426971648, 6757057298432, 37346888122368, 202396038856704, 1077912237244416, 5652245681012736 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES C. Lanczos, Applied Analysis. Prentice-Hall, Englewood Cliffs, NJ, 1956, p. 518. Theodore J. Rivlin, Chebyshev polynomials: from approximation theory to algebra and number theory, 2. ed., Wiley, New York, 1990. LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (24, -240, 1280, -3840, 6144, -4096). FORMULA a(n)= 2^(2*n-1)*binomial(2*n+6, 5) = -A053125(n+5, 5)/2 = A054324(n)/2. G.f.: (4*x+3)*(12*x+1)/(1-4*x)^6. E.g.f.: (90 + 3000*x + 17520*x^2 + 31680*x^3 + 20480*x^4 + 4096*x^5)* exp(4*x)/30. - G. C. Greubel, Jul 22 2019 MATHEMATICA Table[2^(2*n-1)*Binomial[2*n+6, 5], {n, 0, 20}] (* G. C. Greubel, Jul 22 2019 *) PROG (PARI) vector(20, n, n--; 2^(2*n-1)*binomial(2*n+6, 5)) \\ G. C. Greubel, Jul 22 2019 (MAGMA) [2^(2*n-1)*Binomial(2*n+6, 5): n in [0..20]]; // G. C. Greubel, Jul 22 2019 (Sage) [2^(2*n-1)*binomial(2*n+6, 5) for n in (0..20)] # G. C. Greubel, Jul 22 2019 (GAP) List([0..20], n-> 2^(2*n-1)*Binomial(2*n+6, 5)); # G. C. Greubel, Jul 22 2019 CROSSREFS Cf. A054324, A053125. Sequence in context: A292336 A037116 A169996 * A024043 A199640 A221618 Adjacent sequences:  A054327 A054328 A054329 * A054331 A054332 A054333 KEYWORD easy,nonn AUTHOR STATUS approved

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Last modified September 25 12:47 EDT 2020. Contains 337344 sequences. (Running on oeis4.)